Numerical solution of Burgers’ equation using Biorthogonal wavelet-based full approximation scheme
Abstract
Recently, wavelet-based numerical methods have been newly developed in the areas of science and engineering. In this paper, we proposed a full-approximation scheme for the numerical solution of Burgers’ equation using biorthogonal wavelet filter coefficients as prolongation and restriction operators. The presented scheme gives higher accuracy in terms of higher convergence in less CPU time, which has been illustrated through the test problem.
- Publication:
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International Journal of Computational Materials Science and Engineering
- Pub Date:
- 2019
- DOI:
- 10.1142/S2047684118500306
- Bibcode:
- 2019IJCMS...850030S
- Keywords:
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- Burgers’ equation;
- biorthogonal wavelet;
- multi-resolution analysis;
- full approximation scheme